磁电弹性材料中具有非理想界面的增强纳米圆孔的反平面问题  

Anti-plane problem of a reinforced nano-circular holes with imperfect interfaces in a magnetoelectroelastic composites

作　　者：孔祥利 郭俊宏[1,2] KONG Xiangi;GUO Junhong(School of Science,Inner Mongolia University of Technology,Hohhot 010051,China;School of Aviation,Inner Mongolia University of Technology,Hohhot 010051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]内蒙古工业大学航空学院,呼和浩特010051

出　　处：《内蒙古工业大学学报（自然科学版）》2024年第4期302-308,共7页Journal of Inner Mongolia University of Technology：Natural Science Edition

基　　金：国家自然科学基金项目(12072166);内蒙古自治区科技计划项目(2021GG0254);内蒙古自治区直属高校基本科研业务费项目(JY20220075)。

摘　　要：基于Gurtin-Murdoch表/界面模型和弹簧层界面模型,研究无限大磁电弹性复合材料基体中具有非理想界面的增强纳米圆孔的反平面剪切问题。利用广义自洽法和复变函数理论得到增强相和基体相弹性场的精确解及磁电弹性复合材料的有效性能。通过数值算例,分析非理想参数、涂层的体积分数对磁电弹性复合材料有效性能以及基体中弹性场的影响规律。结果表明:当圆孔和涂层的尺寸非常小的情况下,非理想界面和表/界面效应对磁电弹性复合材料的有效性能、孔边周围弹性场有显著影响。通过改变涂层的体积分数和非理想界面参数可提高磁电弹性复合材料的有效性能并降低圆孔周围的应力集中。Based on the Gurtin-Murdoch surface/interface model and the spring layer interface model,the anti-plane shear problem of reinforced nano-circular holes with imperfect interfaces in the matrix of infinite magnetoelectroelastic(MEE)composites is studied.The generalized self-consistent method and complex function theory were used to obtain the accurate solution of the enhanced phase and matrix phase elastic field and the effective properties of MEE composites.The influence of imperfect parameters,the volume fraction of the coating on the effective properties of the MEE composite,and the elastic field in the matrix were analyzed.The results show that when the size of the round holes is very small,the imperfect interface and surface/interface effects have a significant effect on the effective properties of the MEE composite,elastic field of hole edge.By changing the volume fraction of the coating and the imperfect interface parameters,the effective properties of the MEE composite can be improved and the stress concentration around the round hole can be reduced.

关 键 词：磁电弹性复合材料 非理想界面 表/界面效应 弹性场 有效性能 

分 类 号：O343.8[理学—固体力学]